Volume of Rhombic Dodecahedron given Insphere Radius Calculator

✖Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.ⓘ Insphere Radius of Rhombic Dodecahedron [r_i]

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✖Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron.ⓘ Volume of Rhombic Dodecahedron given Insphere Radius [V]

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Formula

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Volume of Rhombic Dodecahedron given Insphere Radius

Formula

`"V" = 4*sqrt(2)*"r"_{"i"}^3`

Example

`"2896.309m³"=4*sqrt(2)*("8m")^3`

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Volume of Rhombic Dodecahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Rhombic Dodecahedron = 4*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^3
V = 4*sqrt(2)*r_i^3
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Volume of Rhombic Dodecahedron - (Measured in Cubic Meter) - Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron.
Insphere Radius of Rhombic Dodecahedron - (Measured in Meter) - Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Rhombic Dodecahedron: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 4*sqrt(2)*r_i^3 --> 4*sqrt(2)*8^3

Evaluating ... ...

V = 2896.3093757401

STEP 3: Convert Result to Output's Unit

2896.3093757401 Cubic Meter --> No Conversion Required

FINAL ANSWER

2896.3093757401 ≈ 2896.309 Cubic Meter <-- Volume of Rhombic Dodecahedron

(Calculation completed in 00.004 seconds)

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< 5 Volume of Rhombic Dodecahedron Calculators

Volume of Rhombic Dodecahedron given Surface to Volume Ratio

Go Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3

Volume of Rhombic Dodecahedron given Total Surface Area

Go Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))^(3/2)

Volume of Rhombic Dodecahedron given Midsphere Radius

Go Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3

Volume of Rhombic Dodecahedron

Go Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*Edge Length of Rhombic Dodecahedron^3

Volume of Rhombic Dodecahedron given Insphere Radius

Go Volume of Rhombic Dodecahedron = 4*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^3

Volume of Rhombic Dodecahedron given Insphere Radius Formula

Volume of Rhombic Dodecahedron = 4*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^3
V = 4*sqrt(2)*r_i^3

What is Rhombic Dodecahedron?

In geometry, the Rhombic Dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of two types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron.

How to Calculate Volume of Rhombic Dodecahedron given Insphere Radius?

Volume of Rhombic Dodecahedron given Insphere Radius calculator uses Volume of Rhombic Dodecahedron = 4*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^3 to calculate the Volume of Rhombic Dodecahedron, The Volume of Rhombic Dodecahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using insphere radius of Rhombic Dodecahedron. Volume of Rhombic Dodecahedron is denoted by V symbol.

How to calculate Volume of Rhombic Dodecahedron given Insphere Radius using this online calculator? To use this online calculator for Volume of Rhombic Dodecahedron given Insphere Radius, enter Insphere Radius of Rhombic Dodecahedron (r_i) and hit the calculate button. Here is how the Volume of Rhombic Dodecahedron given Insphere Radius calculation can be explained with given input values -> 2896.309 = 4*sqrt(2)*8^3.

FAQ

What is Volume of Rhombic Dodecahedron given Insphere Radius?

The Volume of Rhombic Dodecahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using insphere radius of Rhombic Dodecahedron and is represented as V = 4*sqrt(2)*r_i^3 or Volume of Rhombic Dodecahedron = 4*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^3. Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.

How to calculate Volume of Rhombic Dodecahedron given Insphere Radius?

The Volume of Rhombic Dodecahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using insphere radius of Rhombic Dodecahedron is calculated using Volume of Rhombic Dodecahedron = 4*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^3. To calculate Volume of Rhombic Dodecahedron given Insphere Radius, you need Insphere Radius of Rhombic Dodecahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius of Rhombic Dodecahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Rhombic Dodecahedron?

In this formula, Volume of Rhombic Dodecahedron uses Insphere Radius of Rhombic Dodecahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*Edge Length of Rhombic Dodecahedron^3
Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3
Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))^(3/2)
Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3

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